4120206200 has 192 divisors, whose sum is σ = 11021080320. Its totient is φ = 1417856000.

The previous prime is 4120206199. The next prime is 4120206271. The reversal of 4120206200 is 26020214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5413820 + ... + 5414580.

It is an arithmetic number, because the mean of its divisors is an integer number (57401460).

Almost surely, 2^4120206200 is an apocalyptic number.

4120206200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120206200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510540160).

4120206200 is an abundant number, since it is smaller than the sum of its proper divisors (6900874120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4120206200 is a wasteful number, since it uses less digits than its factorization.

4120206200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4120206200 is about 64188.8323620238. The cubic root of 4120206200 is about 1603.1456604182.

Adding to 4120206200 its reverse (26020214), we get a palindrome (4146226414).

The spelling of 4120206200 in words is "four billion, one hundred twenty million, two hundred six thousand, two hundred".